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Recirculation, Reaction Kinetics and Effluent Quality in a Trickling Filter Flow Model B. ATKINSON, Assistant Professor of Chemical Engineering; A. W. BUSCH, Associate Professor of Environmental Engineering; G. S. DAWKINS, Associate Professor of Chemical Engineering. Department of Chemical Engineering Rice University Houston, Texas SUMMARY A mathematical analysis of a flow model for the biological oxidation process carried out in a trickling filter is presented. The widely used residence time concept is shown to yield the same result, although the form of the equation restricts its usefulness. The result of the analysis is studied numerically and analytically for both laminar and turbulent flow. It is suggested that the utilization of turbulent fUm filters may result in a substantial reduction in filter volume requirements. INTRODUCTION The trickling filter used for the biological treatment of organic bearing waste waters represents an extremely complex system of mass transport and reaction kinetics. However, since the process is essentiaUy controlled by the liquid phase, a final solution to the problem seems ultimately assured. For this paper, a simple model has been taken as a basis for mathematical analysis. This model is based on assumptions that are by no means recognized in practice, but it is pointed out that in the past these same assumptions have been made without recognition and are implicit in the various discussions concerning trickling filter analysis. Thus the model presented provides a basis for future work to determine the applicability of the assumptions upon which it is based. The need for a mechanistic approach to trickling filter analysis is most apparent, and it is emphasized that an analysis based on a residence time concept is extremely awkward to handle since it results in an infinite series. In addition, the application of such a concept to a more complex model would be very difficult. DEFINITION OF THE FLOW MODEL The model of the trickling filter process used in this analysis is that of film flow in contact with a vertical wall. Figure 1 gives a diagramatic representation of the flow model. In order to make the analysis tractable it is necessary to make certain qualifying assumptions in specifying the model. These are listed below:  816 
Object Description
Purdue Identification Number  ETRIWC196264 
Title  Recirculation, reaction kinetics and effluent quality in a trickling filter flow model 
Author 
Atkinson, B. Busch, Arthur Winston, 1926 Dawkins, G. S. 
Date of Original  1962 
Conference Title  Proceedings of the seventeenth Industrial Waste Conference 
Conference Front Matter (copy and paste)  http://earchives.lib.purdue.edu/cdm4/document.php?CISOROOT=/engext&CISOPTR=9369&REC=18 
Extent of Original  p. 816833 
Collection Title  Engineering Technical Reports Collection, Purdue University 
Repository  Purdue University Libraries 
Rights Statement  Digital object copyright Purdue University. All rights reserved. 
Language  eng 
Type (DCMI)  text 
Format  JP2 
Date Digitized  20090518 
Capture Device  Fujitsu fi5650C 
Capture Details  ScandAll 21 
Resolution  300 ppi 
Color Depth  8 bit 
Description
Title  page 816 
Collection Title  Engineering Technical Reports Collection, Purdue University 
Repository  Purdue University Libraries 
Rights Statement  Digital object copyright Purdue University. All rights reserved. 
Language  eng 
Type (DCMI)  text 
Format  JP2 
Capture Device  Fujitsu fi5650C 
Capture Details  ScandAll 21 
Transcript  Recirculation, Reaction Kinetics and Effluent Quality in a Trickling Filter Flow Model B. ATKINSON, Assistant Professor of Chemical Engineering; A. W. BUSCH, Associate Professor of Environmental Engineering; G. S. DAWKINS, Associate Professor of Chemical Engineering. Department of Chemical Engineering Rice University Houston, Texas SUMMARY A mathematical analysis of a flow model for the biological oxidation process carried out in a trickling filter is presented. The widely used residence time concept is shown to yield the same result, although the form of the equation restricts its usefulness. The result of the analysis is studied numerically and analytically for both laminar and turbulent flow. It is suggested that the utilization of turbulent fUm filters may result in a substantial reduction in filter volume requirements. INTRODUCTION The trickling filter used for the biological treatment of organic bearing waste waters represents an extremely complex system of mass transport and reaction kinetics. However, since the process is essentiaUy controlled by the liquid phase, a final solution to the problem seems ultimately assured. For this paper, a simple model has been taken as a basis for mathematical analysis. This model is based on assumptions that are by no means recognized in practice, but it is pointed out that in the past these same assumptions have been made without recognition and are implicit in the various discussions concerning trickling filter analysis. Thus the model presented provides a basis for future work to determine the applicability of the assumptions upon which it is based. The need for a mechanistic approach to trickling filter analysis is most apparent, and it is emphasized that an analysis based on a residence time concept is extremely awkward to handle since it results in an infinite series. In addition, the application of such a concept to a more complex model would be very difficult. DEFINITION OF THE FLOW MODEL The model of the trickling filter process used in this analysis is that of film flow in contact with a vertical wall. Figure 1 gives a diagramatic representation of the flow model. In order to make the analysis tractable it is necessary to make certain qualifying assumptions in specifying the model. These are listed below:  816  
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